Question
Mathematics Question on Integration
∫cos2xcos(tanx)dx=
A
(tanx)sin(tanx)+C
B
sin(tanx)+C
C
sec(tanx)+C
D
(cosx)sin(tanx)+C
E
cos2(tanx)+C
Answer
sin(tanx)+C
Explanation
Solution
The correct option is (B): sin(tanx)+C
∫cos2xcos(tanx)dx=
(tanx)sin(tanx)+C
sin(tanx)+C
sec(tanx)+C
(cosx)sin(tanx)+C
cos2(tanx)+C
sin(tanx)+C
The correct option is (B): sin(tanx)+C